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    Salt-body Inversion with Minimum Gradient Support and Sobolev Space Norm Regularizations

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    Type
    Conference Paper
    Authors
    Kazei, Vladimir cc
    Kalita, Mahesh cc
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2017-05-26
    Online Publication Date
    2017-05-26
    Print Publication Date
    2017-06-12
    Permanent link to this record
    http://hdl.handle.net/10754/624912
    
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    Abstract
    Full-waveform inversion (FWI) is a technique which solves the ill-posed seismic inversion problem of fitting our model data to the measured ones from the field. FWI is capable of providing high-resolution estimates of the model, and of handling wave propagation of arbitrary complexity (visco-elastic, anisotropic); yet, it often fails to retrieve high-contrast geological structures, such as salt. One of the reasons for the FWI failure is that the updates at earlier iterations are too smooth to capture the sharp edges of the salt boundary. We compare several regularization approaches, which promote sharpness of the edges. Minimum gradient support (MGS) regularization focuses the inversion on blocky models, even more than the total variation (TV) does. However, both approaches try to invert undesirable high wavenumbers in the model too early for a model of complex structure. Therefore, we apply the Sobolev space norm as a regularizing term in order to maintain a balance between sharp and smooth updates in FWI. We demonstrate the application of these regularizations on a Marmousi model, enriched by a chunk of salt. The model turns out to be too complex in some parts to retrieve its full velocity distribution, yet the salt shape and contrast are retrieved.
    Citation
    Kazei VV, Kalita M, Alkhalifah T (2017) Salt-body Inversion with Minimum Gradient Support and Sobolev Space Norm Regularizations. 79th EAGE Conference and Exhibition 2017. Available: http://dx.doi.org/10.3997/2214-4609.201700600.
    Sponsors
    We thank KAUST for support and Seismic Wave Analysis Group for fruitful discussions.
    Publisher
    EAGE Publications
    Journal
    79th EAGE Conference and Exhibition 2017
    DOI
    10.3997/2214-4609.201700600
    Additional Links
    http://www.earthdoc.org/publication/publicationdetails/?publication=88317
    ae974a485f413a2113503eed53cd6c53
    10.3997/2214-4609.201700600
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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